Decimal Place Value and Powers of 10
In 6.42, how many times the value of the 2 is the value of the 4?
10 times
Write 0.75 in words
75 hundredths
What is 2.35 + 1.20?
3.55
Sam says 2/5+1/2=3/7. Without finding the exact sum, use a benchmark fraction to explain why his answer cannot be right. Then find the correct sum.
3/7 is less than 1/2, but adding 2/5 to 1/2 must give more than 1/2, so it is wrong. Correct sum: 4/10+5/10=9/10.
How many animals does Mrs. Roberson have? Bonus points for names.
5: Kuzco, Alice, Edna, Rico, and Tigger
What is 3.8 multiplied by 10?
38
Write “four and twenty-five thousandths” as a decimal.
4.025
What is 7.8 − 2.46?
5.34
1 3/4 - 6/7
25/28
What is my favorite color?
Purple
What is 5.6 divided by 102?
0.056
Use <, >, or = to compare 0.608 and 0.68.
0.608 < 0.68
Find the sum: 14.06 + 3.79.
17.85
Find the missing number: 5/6 - ?=1/4. Explain how you found it.
7/(12). Rename with common denominator 12: (10)/(12) - ? =3/(12), so the missing number is 7/(12).
What is my sister's name?
Jordan
How is the value of the 7 in 7.36 related to the value of the 7 in 0.736?
The 7 in 7.36 is 10 times as much as the 7 in 0.736.
Round 8.746 to the nearest hundredth.
8.75
A ribbon is 5.5 meters long. Mina cuts off 2.75 meters. How many meters of ribbon remain?
2.75
A trail is 4 miles long. Jada hiked 1 3/4 miles before lunch and 1 2/3 miles after lunch. How much farther must she hike to finish? Estimate first, then solve with an equation.
Estimate: about 1/2 mile.
Exact: 19/(12)+18/(12)=35/(12) miles hiked; 4-35/(12)=7/(12) mile left.
What did I do before I was a teacher?
Preschool teacher and/or nanny for 7 kids
A machine fills 10 boxes with 0.48 kilogram of rice in each box. How many kilograms of rice does it use altogether?
4.8 kilograms. Since 10 groups of 0.48 equal 4.8, the machine uses 4.8 kilograms.
A hiking trail is 12.68 miles long. To the nearest whole mile, about how long is the trail?
13 miles
A shopper buys a notebook for $3.48 and a folder for $2.75. How much do the two items cost altogether? Estimate first, then give the exact total.
Estimate about $6
Exact: $6.23
A garden is 1/3 tomatoes and 1/4 beans, and the rest is flowers. Do the flowers cover more or less than 1/3 of the garden?
Tomatoes and beans total 4/12 + 3/12 = 7/(12), so flowers cover
12/12 - 7/12=5/12. Since 1/3=4/12 and 1/2=6/12, flowers cover more than 1/3 but less than 1/2.
What is my husband's name?
Sam